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Finding the Fourth Proportional to 420.50, 580.12 and 310.24

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Solution

The fourth proportional to 420.50, 580.12 and 310.24 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 580.12 = 310.24 : x
  2. Step 2: Convert to fraction form
    420.50/580.12 = 310.24/x
  3. Step 3: Cross multiply
    420.50x = 580.12 × 310.24
  4. Step 4: Simplify right side
    420.50x = 179,976.43
  5. Step 5: Solve for x
    x = 179,976.43/420.50
  6. Step 6: Final answer
    x = 428.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.